Rarita-Schwinger Type Operators on Cylinders

Abstract:

Here we define Rarita-Schwinger operators on cylinders and construct their fundamental solutions. Further the fundamental solutions to the cylindrical Rarita-Schwinger type operators are achieved by applying translation groups. In turn, a Borel-Pompeiu Formula, Cauchy Integral Formula and a Cauchy Transform are presented for the cylinders. Moreover we show a construction of a number of conformally inequivalent spinor bundles on these cylinders. Again we construct Rarita-Schwinger operators and their fundamental solutions in this setting. Finally we study the remaining Rarita-Schwinger type operators on cylinders. © 2012 Springer Basel AG.

Año de publicación:

2012

Keywords:

• Rarita-Schwinger operator on cylinder
• conformal spinor bundle on cylinder
• fundamental solution

Fuente:

scopus

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